Let's think from various angles 2｜Arithmetic/Mathematics

Last time, we talked about "Let's think from various angles 1".

He talked about the importance of "thinking about auxiliary lines that are different from the answer" in geometric problems.

If it's not in the answer,
"I don't know if a different auxiliary line is better."

I wonder if this is okay
I wonder.

If you have an auxiliary line that you have thought about yourself, it would be a good idea to ask your cram school or tutor.

If you don't want to ask,"If the answer is correct, first OK"It would be nice to have a good feeling.

In Math Practice 43-47, I introduced the story of "trying to find the area in two ways".

This line of thinking is a "both are correct" line of thinking.

There are various opinions about "Which is better?""A little honest".

This is also a "preference", so I think it's better not to think too much about "which one is better".

The method of math practice 46,47 (Solution B) is "a little roundabout", but I do not think it is a "bad solution".

any idea"I have a good grasp of similar shapes"In a sense, it's a proper "graphical/geometric way of thinking".

This "thinking of similar shapes" is the "basic of geometric problems".

From "parallel straight lines","Find similar shapes and think about ratios little by little"is an important attitude.

The method of math practice 44,45, XNUMX is more "obedient""Clear visibility and relatively easy process"is what it means.

"Good outlook"is very important in mathematics.

In order to acquire that sense and intuition, it would be better to "try to solve a lot of problems and draw figures by yourself."

If you actually try it, when you assume solution methods A and B, you will find that "A is a little shortcut."

Once you get used to it, even if you don't do it to the end, you will be able to understand that "A seems easier" at the beginning.

This is something you learn by “trying it yourself” rather than “learning it”.

"Draw a solid figure and try it yourself"Let's practice